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Simplifying 4x(x + -2) = 2(2x + -1)(x + -3) Reorder the terms: 4x(-2 + x) = 2(2x + -1)(x + -3) (-2 * 4x + x * 4x) = 2(2x + -1)(x + -3) (-8x + 4x2) = 2(2x + -1)(x + -3) Reorder the terms: -8x + 4x2 = 2(-1 + 2x)(x + -3) Reorder the terms: -8x + 4x2 = 2(-1 + 2x)(-3 + x) Multiply (-1 + 2x) * (-3 + x) -8x + 4x2 = 2(-1(-3 + x) + 2x * (-3 + x)) -8x + 4x2 = 2((-3 * -1 + x * -1) + 2x * (-3 + x)) -8x + 4x2 = 2((3 + -1x) + 2x * (-3 + x)) -8x + 4x2 = 2(3 + -1x + (-3 * 2x + x * 2x)) -8x + 4x2 = 2(3 + -1x + (-6x + 2x2)) Combine like terms: -1x + -6x = -7x -8x + 4x2 = 2(3 + -7x + 2x2) -8x + 4x2 = (3 * 2 + -7x * 2 + 2x2 * 2) -8x + 4x2 = (6 + -14x + 4x2) Add '-4x2' to each side of the equation. -8x + 4x2 + -4x2 = 6 + -14x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8x + 0 = 6 + -14x + 4x2 + -4x2 -8x = 6 + -14x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8x = 6 + -14x + 0 -8x = 6 + -14x Solving -8x = 6 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -8x + 14x = 6 + -14x + 14x Combine like terms: -8x + 14x = 6x 6x = 6 + -14x + 14x Combine like terms: -14x + 14x = 0 6x = 6 + 0 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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